A quantum stochastic theory for nonadiabatic processes in condensed phases and on surfaces
1.See, for example, (a) J. Ulstrup and J. Jorttier, J. Chem. Phys. 63, 4358 (1975);
1.(b) J. Jortner, Chem. Phys. Lett. 63, 236 (1979);
1.(c) R. A. Marcus, J. Chem. Phys. 24, 966 (1956);
1.(d) G. Levich, Adv. Electrochem. Eng. 4, 249 (1966);
1.(e) N. R. Kestner, J. Logan, and J. Jortner, J. Phys. Chem. 78, 2148 (1974).
2.(a) J. H. Freed, in Chemically Induced Magnetic Polarization, edited by L. Muus et al. (Reidel, The Netherlands);
2.(b) J. H. Freed and J. B. Pederson, Adv. Magn. Reson. 8, 1 (1976);
2.(c) J. B. Pederson and J. H. Freed, J. Chem. Phys. 57, 1004 (1972);
2.J. B. Pederson and J. H. Freed, 58, 2746 (1973); , J. Chem. Phys.
2.J. B. Pederson and J. H. Freed, 59, 2869 (1973); , J. Chem. Phys.
2.J. B. Pederson and J. H. Freed, 61, 1517 (1974); , J. Chem. Phys.
2.J. B. Pederson and J. H. Freed, 62, 1706 (1975); , J. Chem. Phys.
2.(d) G. P. Zientara and J. H. Freed, J. Phys. Chem. 83, 3333 (1979);
2.(e) G. P. Zientara and J. H. Freed, J. Chem. Phys. 70, 1359 (1979);
2.G. P. Zientara and J. H. Freed, 71, 3861 (1979); , J. Chem. Phys.
2.(f) G. T. Evans, P. D. Fleming, and R. G. Lawler, J. Chem. Phys. 58, 2071 (1973)., J. Chem. Phys.
3.S. Glasstone, K. J. Laidler, and H. Eyring, The Theory of Rate Processes (McGraw‐Hill, New York, 1941).
4.W. A. Wassam, Jr. and J. H. Freed, J. Chem. Phys. 76, 6133 (1982).
5.(a) H. Aroeste, Adv. Chem. Phys. 6, 1 (1964);
5.(b) S. F. Fischer, J. Chem. Phys. 68, 3195 (1970);
5.(c) W. A. Wassam, Jr., Ph.D. thesis, Purdue University, 1974;
5.(d) F. K. Fong, Theory of Molecular Relaxation: Applications in Chemistry and Biology (Wiley Interscience, New York, 1975);
5.(e) W. A. Wassam, Jr., Chem. Phys. Lett. 62, 184 (1979);
5.(f) W. A. Wassam, Jr., J. Chem. Phys. 73, 655 (1980);
5.(g) W. A. Wassam, Jr., in Excited States, edited by E. C. Lim (Academic, 1981), Vol. 5.
6.Y. E. Perlin, Usp. Fiz. Nauk 80, 553 (1963).
7.See, for example, W. H. Louisell, Quantum Statistical Properties of Radiation (Wiley, New York, 1973).
8.See, for example, Ref. 6.
9.(a) H. Weyl, Z. Phys. 46, 1 (1927);
9.(b) H. Weyl, The Theory of Groups and Quantum Mechanics (Dover, New York, 1950).
10.For an excellent discussion of Weyl correspondence and Wigner equivalence methods, see K. Imre, E. Ozizmir, M. Rosenbaum, and P. F. Zweifel, J. Math. Phys. 8, 1097 (1967).
11.(a) E. Wigner, Phys. Rev. 40, 749 (1932);
11.(b) H. J. Groenewold, Physica 12, 405 (1946);
11.(c) J. E. Moyal, Proc. Cambridge Philos. Soc. 45, 99 (1949);
11.(d) J. H. Irving and R. W. Zwanzig, J. Chem. Phys. 19, 1173 (1951);
11.(e) T. Takabayasi, Prog. Theor. Phys. 11, 341 (1954);
11.(f) H. Mori, I. Oppenheim, and J. Ross, in Studies in Statistical Mechanics, edited by J. De Boer and G. E. Uhlenbeck (North‐Holland, Amsterdam, 1962), Vol. 1;
11.(g) C. L. Mehta, J. Math. Phys. 5, 677 (1964);
11.(h) I. Oppenheim and J. Ross, Phys. Rev. 107, 28 (1957).
12.(a) L. P. Hwang and J. H. Freed, J. Chem. Phys. 63, 118 (1975);
12.(b) J. B. Pederson and J. H. Freed, J. Chem. Phys. 59, 2869 (1973)., J. Chem. Phys.
13.L. Monchick, J. Chem. Phys. 74, 4519 (1981).
14.The Condon approximation in a fully quantum treatment of non‐adiabatic processes freezes the nuclear coordinates at some fixed configuration. See E. U. Condon, Phys. Rev. 32, 858 (1928).
15.For a recent discussion of the possible role of quantum effects in the spin sublevel decay of small molecules on surfaces, see M. Shiotani, G. Moro, and J. H. Freed, J. Chem. Phys. 74, 2616 (1981).
15.This discussion is based on an earlier stochastic Liouville‐type of formulation, which did include quantum effects from rotational motions [cf. J. H. Freed, J. Chem. Phys. 45, 1251 (1966)];
15.also Electron‐Spin Relaxation in Liquids, edited by L. T. Muus and P. W. Atkins (Plenum, New York, 1972), Chap. 9.
16.A more thorough description of the light source would require the spedification of the higher order moments of the electric field components.
17.These terms will be discussed further in a future paper [W. A. Wassam, Jr., and J. H. Freed (unpublished)], where a more detailed analysis of external disturbances will be given.
18.The correct form of Eq. (B1) for cases involving classical disturbances is obtained by making the substitution in Eqs. (B5)‐(B8) and allowing in Eq. (Bl). The form of nonlinear external dusturbance terms in the limit of classical disturbances will be discussed in more detail in the future article cited in Ref. 17.
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